In this talk, I will discuss a potential solution to the Hubble Tension by examining modifications in the empirical Period-Luminosity relation for Cepheids that may arise from variations in the gravitational constant (G) within the standard distance ladder. I will explain how introducing a G-transition can alter the inferred distance modulus for Type Ia supernovae (SNe Ia), affecting the absolute magnitude (MB) and, consequently, the determination of the Hubble Constant. Our analysis shows that a G-transition, which helps mitigate the Hubble tension, is statistically favoured by the data over the conventional model that assumes a constant G throughout the distance ladder.
Additionally, I will discuss recent JWST results and their emerging tension with the ΛCDM model, along with proposed approaches to mitigate these discrepancies.